Question

A washing machine is filling up with water at a constant rate. The rate is 3/4 of a gallon in 1/5 of a minute. Don calculated the unit rate to be 3/20 of a gallon per minute. what did he do wrong?​

Answer 1

Answer: you have to see how many gallons fill the container per minute, so take 3/4 and divide it by 1/5, which gives 15/4. So he multiplied the two numbers instead of dividing.

Step-by-step explanation:

Answer 2

Answer:

$\frac{15}{4}$ gallon per minute

Step-by-step explanation:

Given parameters:

Quantity of gallon = $\frac{3}{4}$ gallon

Time taken  = $\frac{1}{5}$ min

Unknown:

The solution is $\frac{3}{20}$ gallon per minute, what did he do wrong = ?

Solution:

To find the rate:

   Rate  = $\frac{Quantity of gallon}{time }$

 Input the parameters and solve

  Rate  = $\frac{\frac{3}{4} }{\frac{1}{5} }$   = $\frac{3}{4}$  ÷ $\frac{1}{5}$

                       Invert the $\frac{1}{5}$  to give 5

                  =  $\frac{3}{4}$ x 5

                  = $\frac{15}{4}$ gallon per minute

The student failed to invert the $\frac{1}{5}$ before multiplying with  $\frac{3}{4}$